Question 263970
A page with dimensions of 8.5 inches by 11 inches has a border of uniform width "x" surrounding the printed matter of the page...
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Draw the picture so you can see the meaning of the math.
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a) write a formula for the area of the printed portion of the page as a function of the width "x" of the border
Area(x) = (8.5+2x)(11+2x)
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B) what are the domain and range of the above function?
The dimensions cannot be negative so x > 0
Domain: All Real Numbers > 0
Range: All Real Numbers greater than 8.5*11 = 93.5 sq. in.
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C) graph the equation and use your calculator to find the width of the margin that should be used to obtain an area of 70 square inches.
{{{graph(400,300,-5,20,-10,200,70,(8.5+2x)(11+2x))}}}
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Cheers,
Stan H.